Numerical and Analytical Modeling to Determine Performance Trade-offs in Hydrogel-based pH Sensors

Abstract

Hydrogel based pH sensors are promising candidates for implantable sensors due to their low-cost and biocompatibility. Despite their commercial potential and numerous theoretical/experimental reports, the trade-offs between different performance parameters are not well understood, and explicitly stated. In this work, we develop a numerical and analytical framework to show that there is a fundamental trade-off between the performance parameters i.e. sensitivity/dynamic range vs. response-time/response-asymmetry in hydrogel sensors under constrained swelling conditions. Specifically, we consider the effect of the gel parameters, such as the ionizable group density ( Nf) and its dissociation constant ( Ka), on the sensor performance. We show that improvement of sensitivity/dynamic range leads to degradation in response time/symmetry and therefore, a compromise must be made to optimize device performance

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